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Finding the Third Proportional to 254,500,946 and 403,638,915

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Solution

The third proportional to 254,500,946 and 403,638,915 is: 640,171,976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,500,946 : 403,638,915 = 403,638,915 : x
  2. Step 2: Convert to fraction form
    254,500,946/403,638,915 = 403,638,915/x
  3. Step 3: Cross multiply
    254,500,946x = 403,638,915 × 403,638,915
  4. Step 4: Simplify right side
    254,500,946x = 162,924,373,702,377,216
  5. Step 5: Solve for x
    x = 162,924,373,702,377,216/254,500,946
  6. Step 6: Final answer
    x = 640,171,976.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.